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When the ${\\mbox{\\boldmath $I$}}$ direction is denoted by $i$, we obtain the AMR ratio as ${\\rm AMR}^i (\\phi_i)= C_0^i + C_2^i \\cos 2\\phi_i + C_4^i \\cos 4 \\phi_i \\ldots = \\sum_{j=0,2,4,\\ldots} C_j^i \\cos j"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1903.01317","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2019-03-04T15:55:18Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"c83d00a57b7c7db72f0b43b76cced5b5b1ddc318acfa8a30d9d15f1b756dd537","abstract_canon_sha256":"01a41344c1d1e4c615eeffb467a868250196b3f6037082a7b269054b4a500113"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:52:09.101061Z","signature_b64":"AzcS90cmCwNjaRntGjRBWes84o6bGKk1/S3+783gHUfwEBPXDp7JKHaZSrTfr84BXxtJW0A0rjsIGXsgtVd4Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de089ba64385c178e2762b9f5f12a5103146b56cfc7193fa4da37c2b1fc2120c","last_reissued_at":"2026-05-17T23:52:09.100520Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:52:09.100520Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Theoretical Study on Anisotropic Magnetoresistance Effects of I//[100], I//[110], and I//[001] for Ferromagnets with A Crystal Field of Tetragonal Symmetry","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Masakiyo Tsunoda, Satoshi Kokado","submitted_at":"2019-03-04T15:55:18Z","abstract_excerpt":"Using the electron scattering theory, we obtain analytic expressions for anisotropic magnetoresistance (AMR) ratios for ferromagnets with a crystal field of tetragonal symmetry. 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